2.840   ODE No. 840

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)=\frac {e^{\frac {y(x)}{x}} \left (x^3+x e^{-\frac {y(x)}{x}}+e^{-\frac {y(x)}{x}} y(x)\right )}{x} \] Mathematica : cpu = 0.340677 (sec), leaf count = 30

\[\left \{\left \{y(x)\to -x \log \left (-\frac {x^2}{3}+\frac {e^{3 c_1}}{3 x}\right )\right \}\right \}\] Maple : cpu = 0.069 (sec), leaf count = 19

\[\left \{y \left (x \right ) = x \ln \left (\frac {3 x}{-x^{3}+c_{1}}\right )\right \}\]